You have just taken out a

$$$$21,000$

car loan with a

$6\%$

$$APR$,$ compounded monthly. The loan is for

$55$

years. When you make your first payment in one$$ month, how much of the payment will go toward the principal of the loan and how much will go toward$$ interest?

$($Note$$:

Be careful not to round any intermediate steps less than six decimal$$ places.$)$